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Finding the Fourth Proportional to 881.56, 1,216.74 and 649.24

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Solution

The fourth proportional to 881.56, 1,216.74 and 649.24 is: 896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.56 : 1,216.74 = 649.24 : x
  2. Step 2: Convert to fraction form
    881.56/1,216.74 = 649.24/x
  3. Step 3: Cross multiply
    881.56x = 1,216.74 × 649.24
  4. Step 4: Simplify right side
    881.56x = 789,956.28
  5. Step 5: Solve for x
    x = 789,956.28/881.56
  6. Step 6: Final answer
    x = 896.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.